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Finding the Fourth Proportional to 1,507.50, 2,080.40 and 844.36

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Solution

The fourth proportional to 1,507.50, 2,080.40 and 844.36 is: 1,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.50 : 2,080.40 = 844.36 : x
  2. Step 2: Convert to fraction form
    1,507.50/2,080.40 = 844.36/x
  3. Step 3: Cross multiply
    1,507.50x = 2,080.40 × 844.36
  4. Step 4: Simplify right side
    1,507.50x = 1,756,597.12
  5. Step 5: Solve for x
    x = 1,756,597.12/1,507.50
  6. Step 6: Final answer
    x = 1,165.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.